157202519040 has 440 divisors, whose sum is σ = 643811828352. Its totient is φ = 35931340800.

The previous prime is 157202519011. The next prime is 157202519041. The reversal of 157202519040 is 40915202751.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 157202518986 and 157202519004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157202519041) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2875965 + ... + 2930115.

Almost surely, 2^157202519040 is an apocalyptic number.

157202519040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157202519040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321905914176).

157202519040 is an abundant number, since it is smaller than the sum of its proper divisors (486609309312).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

157202519040 is an equidigital number, since it uses as much as digits as its factorization.

157202519040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54195 (or 54168 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 157202519040 in words is "one hundred fifty-seven billion, two hundred two million, five hundred nineteen thousand, forty".